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BILLIONAIRE John Paulson is engaged to his much-younger girlfriend, sources tell Page Six, while he’s still embroiled in a bitter divorce battle with his ex.

The Wall Street giant ditched Jenny Paulson in 2021 after 21 years of marriage for dietitian Alina de Almeida, and the former couple has been locked in an uproariously acrimonious split ever since.

Now Page Six hears that John, 68, is engaged to his new love, 35.

A source close to the couple confirms, “John and Alina have been together for 2 ½ years. They are very happy together and have gotten engaged.”

Bloomberg News seemed to have let the cat out of the bag first. The outlet’s Amanda L. Gordon referred to de Almeida as Paulson’s fiancée in an article interviewing the financier about supporting Donald Trump’s re-election.

De Almeida was listed with Paulson as a host on an invitation to a big fund-raiser in Palm Beach, Fla., over the weekend that raked in more than $50 million for the GOP candidate.

A source tells us that beyond any Bloomberg mention, “The word ‘fiancée’ has been said” by Paulson to pals, “but I don’t think anyone has seen a ring.”

The source added, “He’s trying to be discreet so as not to get Jenny all riled up.”

Paulson, who Forbes estimates is worth $3.5 billion, is still in the midst of divorcing Jenny, mother to his two daughters.

A source told Page Six at the time of the split that Jenny was devastated, and that she only learned he filed by reading about it in Page Six.

Robert Cohen, an attorney for Jenny, told us when reached for comment, “All Jenny is asking in the litigation is her right to an equitable division of marital assets under [New York] law . . . Mrs. Paulson has no interest in commenting on or embarrassing any companion of Mr. Paulson . . . Her first priority remains the children, for whom she has primary responsibility, and their happiness.”